Repeated sampling, to illustrate basic concepts of confidence intervals (CIs)

Take independent samples from a normal population. Set the population parameters and select the sample size n. Click to display or hide the population distribution and various other features. Click to take a single sample, shown as a dotplot. Means of successive samples are shown cascading down the screen. Run the simulation and see the means ‘dance’, illustrating the (surprisingly large?) extent of sampling variability for your chosen population and n. Set a confidence level and show a confidence interval for µ for each sample. Set a µo comparison value (usually = µ) for the mean and see which CIs capture this value. One key idea is that the CIs vary, not µ.